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Finding the Fourth Proportional to 1,033.47, 1,547.49 and 868.53

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Solution

The fourth proportional to 1,033.47, 1,547.49 and 868.53 is: 1,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.47 : 1,547.49 = 868.53 : x
  2. Step 2: Convert to fraction form
    1,033.47/1,547.49 = 868.53/x
  3. Step 3: Cross multiply
    1,033.47x = 1,547.49 × 868.53
  4. Step 4: Simplify right side
    1,033.47x = 1,344,041.49
  5. Step 5: Solve for x
    x = 1,344,041.49/1,033.47
  6. Step 6: Final answer
    x = 1,300.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.